Question

In: Statistics and Probability

Given the following Table which summarizes the educational background of a group of business executives answer...

Given the following Table which summarizes the educational background of a group of business executives answer the following questions. Suppose an executive is selected at random

Degree Level	Engineering Degree	Business Degree
BS	172	28
MS	55	56
PhD	7	1

(a) What is the probability that the executive has an engineering degree?

(b) If the selected executive is known to have an engineering degree, what is the probability

that he/she has a BS degree?

(c) Are "engineering degree" and "MS degree" independent?

Expert Solution

(a)

From the given data, the following Table is calculated:

	Engineering Degree	Business Degree	Total
BS	172	28	200
MS	55	56	111
PhD	7	1	8
Total	234	85	319

P(Engineering Degree) = 234/319 = 0.7335

So,

Answer is:

0.7335

(b)

P(BS/Engineering Degree) = P(BS AND Engineering Degree) / P(Engineering Degree)

= 172/234

= 0.7350

So

Answer is:

0.7350

(c)

P(Engineering Degree) = 234/319 = 0.7335

P(MS Degree) = 111/319 = 0.3480

So,

P(Engineering Degree) X P(MS Degree) = 0.7335 X 0.3480 = 0.2552

P(Engineering Degree AND MS Degree) = 55/319 = 0.1724

Since P(Engineering Degree) X P(MS Degree) = 0.2552 P(Engineering Degree AND MS Degree) = 0.1724, the events "engineering degree" and "MS degree" are not independent.

orchestra answered 3 years ago

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